Fig. 3: Effect of latent space variables on structure factor.
From: Machine-learning-assisted insight into spin ice Dy2Ti2O7
a Experimental scattering data Sexp(Q) in the high symmetry plane. Dark patches indicate zero signal due to nuclear Bragg peaks. b The corresponding simulated data for the optimal model Hamiltonian. c Change in the simulated structure factor ΔSsim when the J2 coupling is perturbed from 0.16 K to −0.18 K. The relatively weak response ΔSsim to a perturbation in J2 of ±0.05 J1 illustrates the challenge in inferring the correct spin Hamiltonian. d–f The change in the autoencoder output when 1, 6, and 12 latent space components, respectively, are updated to account for the perturbation on J2 (see main text for details).
